Home / 2,057.30-3,083.07-1,543.70

Finding the Fourth Proportional to 2,057.30, 3,083.07 and 1,543.70

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Solution

The fourth proportional to 2,057.30, 3,083.07 and 1,543.70 is: 2,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.30 : 3,083.07 = 1,543.70 : x
  2. Step 2: Convert to fraction form
    2,057.30/3,083.07 = 1,543.70/x
  3. Step 3: Cross multiply
    2,057.30x = 3,083.07 × 1,543.70
  4. Step 4: Simplify right side
    2,057.30x = 4,759,335.16
  5. Step 5: Solve for x
    x = 4,759,335.16/2,057.30
  6. Step 6: Final answer
    x = 2,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.